Question

find the LCM
x^2+2x,x^2-2x

Answer 1

Factor each binomial.
Then you need one factor of each of all the factors for the LCM

Answer 2

Is the answer x^2 (x+2)(x-2)

Answer 3

Factors
x^2+2x : x (x+2)
x^2-2x :x (x-2)

LCM is product of one factor from each column
= x(x+2)(x-2)

Answer 4

Thank you. I thought it I had to put x^2 (x+2)(x-2)

Answer 5

x^2 + 2x = x(x + 2)
x^2 - 2x = x(x - 2)
For LCM, you need common and non-common factors with the largest exponent.
x is a factor common to both, so take x
x + 2 is not common to both, so take it also
x - 2 is not common to both, so take it also
LCM = x(x + 2)(x -2)